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Finding the Third Proportional to 354,721.50 and 788,175

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Solution

The third proportional to 354,721.50 and 788,175 is: 1,751,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,721.50 : 788,175 = 788,175 : x
  2. Step 2: Convert to fraction form
    354,721.50/788,175 = 788,175/x
  3. Step 3: Cross multiply
    354,721.50x = 788,175 × 788,175
  4. Step 4: Simplify right side
    354,721.50x = 621,219,830,625
  5. Step 5: Solve for x
    x = 621,219,830,625/354,721.50
  6. Step 6: Final answer
    x = 1,751,288.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.